bmarechal / sicav_sim

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Commit 01f78001077ca38a49c870bf40a7920037453f44

Authored by bmarechal
1 parent e5671c2970
Exists in master

rename ram to phase_modulation (PM) sim

Showing 4 changed files with 92 additions and 0 deletions Inline Diff

File was created 1 from sympy import *
2 from sympy.simplify.fu import *
3
4 init_printing()
5
6 #constants
7 E0, W, t, m, b= symbols('E0, Omega, t, m, beta', real=True, imaginary=False)
8
9 #AM+PM
10 E_ampm = E0*(1+m*cos(W*t))*exp(I*(W*t+b*sin(W*t)))
11 I_ampm = abs(E_ampm)**2
12 I_ampm = expand(TR8(expand(expand_complex(I_ampm))))
13
14 #AM
15 E_am = E0*(1+m*cos(W*t))*exp(I*(W*t))
16 I_am = abs(E_am)**2
17 I_am = expand(TR8(expand(expand_complex(I_am))))
File was created 1 % Phasor demo
2 %
3 % Tobin Fricke <tobin.fricke@ligo.org> 2011-06-08
4
5 % modulation depth
6 %m = pi/4;
7 m = 1;
8
9 % vector of (normalized) frequencies to include
10 %freqs = [0 1 -1 2 -2 3 -3 4 -4];
11 freqs = [0 1 -1 2 -2];
12
13 % initial amplitudes of the phasors
14 amp = besselj(freqs, m);
15
16 set(0, 'defaultlinelinewidth', 5);
17
18 % Set up the axes
19 cla reset;
20 axis equal;
21 xlim([-1 1.5]);
22 ylim([-1 1]);
23
24 % Draw the unit circle
25 rectangle('Position', [-1 -1 2 2], 'Curvature', [1 1])
26
27 % make some lines
28 L = [];
29 L(1) = line([0], [0]);
30 L(2) = line([0], [0], 'color', 'red');
31
32 save_to_disk = 0;
33
34 % how many frames to render?
35 if save_to_disk,
36 n_frames = 200;
37 else
38 n_frames = inf;
39 end
40
41 % how much the 1-Omega should rotate in one frame of the animation?
42 if isinf(n_frames)
43 dphi = m/20;
44 else
45 dphi = (2*pi)/(n_frames + 1);
46 end
47
48 frameno = 0;
49 ret_amp = [];
50 while (frameno < n_frames),
51 frameno = frameno + 1;
52
53 % Add up the phasors cumulatively
54 seg = cumsum([0 amp]);
55
56 % Draw both the collection of phasors and the resultant
File was created 1 clc
2 clear all
3 close all
4
5 N = 10;
6
7 set(0, 'defaultlinelinewidth', 5);
8
9 phi = [0:0.01:1]*2*pi;
10 m = 1;
11
12 for n = 2:N
13 freqs = -n:n;
14 amp = besselj(freqs, m);
from sympy import * 1 File was deleted
from sympy.simplify.fu import * 2
3
init_printing() 4
5
#constants 6
E0, W, t, m, b= symbols('E0, Omega, t, m, beta', real=True, imaginary=False) 7
8
#AM+PM 9
E_ampm = E0*(1+m*cos(W*t))*exp(I*(W*t+b*sin(W*t))) 10
I_ampm = abs(E_ampm)**2 11
I_ampm = expand(TR8(expand(expand_complex(I_ampm)))) 12
13
#AM 14
E_am = E0*(1+m*cos(W*t))*exp(I*(W*t)) 15
I_am = abs(E_am)**2 16
I_am = expand(TR8(expand(expand_complex(I_am)))) 17